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<div class="title">Transpose.h</div>  </div>
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<div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="comment">// This file is part of Eigen, a lightweight C++ template library</span></div>
<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="comment">// for linear algebra.</span></div>
<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;<span class="comment">//</span></div>
<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="comment">// Copyright (C) 2006-2008 Benoit Jacob &lt;jacob.benoit.1@gmail.com&gt;</span></div>
<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="comment">// Copyright (C) 2009-2014 Gael Guennebaud &lt;gael.guennebaud@inria.fr&gt;</span></div>
<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="comment">//</span></div>
<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="comment">// This Source Code Form is subject to the terms of the Mozilla</span></div>
<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="comment">// Public License v. 2.0. If a copy of the MPL was not distributed</span></div>
<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="comment">// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.</span></div>
<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160; </div>
<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#ifndef EIGEN_TRANSPOSE_H</span></div>
<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#define EIGEN_TRANSPOSE_H</span></div>
<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160; </div>
<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &quot;./InternalHeaderCheck.h&quot;</span></div>
<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160; </div>
<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespaceEigen.html">Eigen</a> {</div>
<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160; </div>
<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="keyword">namespace </span>internal {</div>
<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> MatrixType&gt;</div>
<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="keyword">struct </span>traits&lt;Transpose&lt;MatrixType&gt; &gt; : <span class="keyword">public</span> traits&lt;MatrixType&gt;</div>
<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;{</div>
<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;  <span class="keyword">typedef</span> <span class="keyword">typename</span> ref_selector&lt;MatrixType&gt;::type MatrixTypeNested;</div>
<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;  <span class="keyword">typedef</span> std::remove_reference_t&lt;MatrixTypeNested&gt; MatrixTypeNestedPlain;</div>
<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;  <span class="keyword">enum</span> {</div>
<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;    RowsAtCompileTime = MatrixType::ColsAtCompileTime,</div>
<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;    ColsAtCompileTime = MatrixType::RowsAtCompileTime,</div>
<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;    MaxRowsAtCompileTime = MatrixType::MaxColsAtCompileTime,</div>
<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;    MaxColsAtCompileTime = MatrixType::MaxRowsAtCompileTime,</div>
<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;    FlagsLvalueBit = is_lvalue&lt;MatrixType&gt;::value ? <a class="code" href="group__flags.html#gae2c323957f20dfdc6cb8f44428eaec1a">LvalueBit</a> : 0,</div>
<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;    Flags0 = traits&lt;MatrixTypeNestedPlain&gt;::Flags &amp; ~(<a class="code" href="group__flags.html#gae2c323957f20dfdc6cb8f44428eaec1a">LvalueBit</a> | NestByRefBit),</div>
<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;    Flags1 = Flags0 | FlagsLvalueBit,</div>
<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;    Flags = Flags1 ^ <a class="code" href="group__flags.html#gae4f56c2a60bbe4bd2e44c5b19cbe8762">RowMajorBit</a>,</div>
<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;    InnerStrideAtCompileTime = inner_stride_at_compile_time&lt;MatrixType&gt;::ret,</div>
<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;    OuterStrideAtCompileTime = outer_stride_at_compile_time&lt;MatrixType&gt;::ret</div>
<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;  };</div>
<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;};</div>
<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;}</div>
<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160; </div>
<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> MatrixType, <span class="keyword">typename</span> StorageKind&gt; <span class="keyword">class </span>TransposeImpl;</div>
<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160; </div>
<div class="line"><a name="l00054"></a><span class="lineno"><a class="line" href="classEigen_1_1Transpose.html">   54</a></span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> MatrixType&gt; <span class="keyword">class </span><a class="code" href="classEigen_1_1Transpose.html">Transpose</a></div>
<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;  : <span class="keyword">public</span> TransposeImpl&lt;MatrixType,typename internal::traits&lt;MatrixType&gt;::StorageKind&gt;</div>
<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;{</div>
<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;  <span class="keyword">public</span>:</div>
<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160; </div>
<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;    <span class="keyword">typedef</span> <span class="keyword">typename</span> internal::ref_selector&lt;MatrixType&gt;::non_const_type MatrixTypeNested;</div>
<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160; </div>
<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;    <span class="keyword">typedef</span> <span class="keyword">typename</span> TransposeImpl&lt;MatrixType,typename internal::traits&lt;MatrixType&gt;::StorageKind&gt;::Base Base;</div>
<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;    EIGEN_GENERIC_PUBLIC_INTERFACE(<a class="code" href="classEigen_1_1Transpose.html">Transpose</a>)</div>
<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;    <span class="keyword">typedef</span> internal::remove_all_t&lt;MatrixType&gt; NestedExpression;</div>
<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160; </div>
<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;    EIGEN_DEVICE_FUNC</div>
<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;    <span class="keyword">explicit</span> EIGEN_STRONG_INLINE <a class="code" href="classEigen_1_1Transpose.html">Transpose</a>(MatrixType&amp; matrix) : m_matrix(matrix) {}</div>
<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160; </div>
<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;    EIGEN_INHERIT_ASSIGNMENT_OPERATORS(<a class="code" href="classEigen_1_1Transpose.html">Transpose</a>)</div>
<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160; </div>
<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;    EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE EIGEN_CONSTEXPR</div>
<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;    <a class="code" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> rows() <span class="keyword">const</span> EIGEN_NOEXCEPT { <span class="keywordflow">return</span> m_matrix.cols(); }</div>
<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;    EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE EIGEN_CONSTEXPR</div>
<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;    <a class="code" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> cols() <span class="keyword">const</span> EIGEN_NOEXCEPT { <span class="keywordflow">return</span> m_matrix.rows(); }</div>
<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160; </div>
<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;    EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE</div>
<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;    <span class="keyword">const</span> internal::remove_all_t&lt;MatrixTypeNested&gt;&amp;</div>
<div class="line"><a name="l00078"></a><span class="lineno"><a class="line" href="classEigen_1_1Transpose.html#a48cbed2e6eb5fca2d2479f6b9e454e66">   78</a></span>&#160;    <a class="code" href="classEigen_1_1Transpose.html#a48cbed2e6eb5fca2d2479f6b9e454e66">nestedExpression</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> m_matrix; }</div>
<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160; </div>
<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;    EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE</div>
<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;    std::remove_reference_t&lt;MatrixTypeNested&gt;&amp;</div>
<div class="line"><a name="l00083"></a><span class="lineno"><a class="line" href="classEigen_1_1Transpose.html#a8918f9132ab7ef076190c04b163d12f3">   83</a></span>&#160;    <a class="code" href="classEigen_1_1Transpose.html#a8918f9132ab7ef076190c04b163d12f3">nestedExpression</a>() { <span class="keywordflow">return</span> m_matrix; }</div>
<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160; </div>
<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;    EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE</div>
<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;    <span class="keywordtype">void</span> resize(<a class="code" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> nrows, <a class="code" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> ncols) {</div>
<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;      m_matrix.resize(ncols,nrows);</div>
<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;    }</div>
<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160; </div>
<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;  <span class="keyword">protected</span>:</div>
<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;    <span class="keyword">typename</span> internal::ref_selector&lt;MatrixType&gt;::non_const_type m_matrix;</div>
<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;};</div>
<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160; </div>
<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;<span class="keyword">namespace </span>internal {</div>
<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160; </div>
<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;template&lt;typename MatrixType, bool HasDirectAccess = has_direct_access&lt;MatrixType&gt;::ret&gt;</div>
<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;<span class="keyword">struct </span>TransposeImpl_base</div>
<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;{</div>
<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;  <span class="keyword">typedef</span> <span class="keyword">typename</span> dense_xpr_base&lt;Transpose&lt;MatrixType&gt; &gt;::type type;</div>
<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;};</div>
<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160; </div>
<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> MatrixType&gt;</div>
<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;<span class="keyword">struct </span>TransposeImpl_base&lt;MatrixType, false&gt;</div>
<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;{</div>
<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;  <span class="keyword">typedef</span> <span class="keyword">typename</span> dense_xpr_base&lt;Transpose&lt;MatrixType&gt; &gt;::type type;</div>
<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;};</div>
<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160; </div>
<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;} <span class="comment">// end namespace internal</span></div>
<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160; </div>
<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;<span class="comment">// Generic API dispatcher</span></div>
<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> XprType, <span class="keyword">typename</span> StorageKind&gt;</div>
<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;<span class="keyword">class </span>TransposeImpl</div>
<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;  : <span class="keyword">public</span> internal::generic_xpr_base&lt;Transpose&lt;XprType&gt; &gt;::type</div>
<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;{</div>
<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;<span class="keyword">public</span>:</div>
<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;  <span class="keyword">typedef</span> <span class="keyword">typename</span> internal::generic_xpr_base&lt;Transpose&lt;XprType&gt; &gt;::type Base;</div>
<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;};</div>
<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160; </div>
<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> MatrixType&gt; <span class="keyword">class </span>TransposeImpl&lt;MatrixType,Dense&gt;</div>
<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;  : <span class="keyword">public</span> internal::TransposeImpl_base&lt;MatrixType&gt;::type</div>
<div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;{</div>
<div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;  <span class="keyword">public</span>:</div>
<div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160; </div>
<div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;    <span class="keyword">typedef</span> <span class="keyword">typename</span> internal::TransposeImpl_base&lt;MatrixType&gt;::type Base;</div>
<div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;    <span class="keyword">using</span> Base::coeffRef;</div>
<div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;    EIGEN_DENSE_PUBLIC_INTERFACE(Transpose&lt;MatrixType&gt;)</div>
<div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;    EIGEN_INHERIT_ASSIGNMENT_OPERATORS(TransposeImpl)</div>
<div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160; </div>
<div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;    EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE</div>
<div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;    <a class="code" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> innerStride()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> derived().nestedExpression().innerStride(); }</div>
<div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;    EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE</div>
<div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160;    <a class="code" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> outerStride()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> derived().nestedExpression().outerStride(); }</div>
<div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160; </div>
<div class="line"><a name="l00135"></a><span class="lineno">  135</span>&#160;    <span class="keyword">typedef</span> std::conditional_t&lt;</div>
<div class="line"><a name="l00136"></a><span class="lineno">  136</span>&#160;              internal::is_lvalue&lt;MatrixType&gt;::value,</div>
<div class="line"><a name="l00137"></a><span class="lineno">  137</span>&#160;              Scalar,</div>
<div class="line"><a name="l00138"></a><span class="lineno">  138</span>&#160;              <span class="keyword">const</span> Scalar</div>
<div class="line"><a name="l00139"></a><span class="lineno">  139</span>&#160;            &gt; ScalarWithConstIfNotLvalue;</div>
<div class="line"><a name="l00140"></a><span class="lineno">  140</span>&#160; </div>
<div class="line"><a name="l00141"></a><span class="lineno">  141</span>&#160;    EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE</div>
<div class="line"><a name="l00142"></a><span class="lineno">  142</span>&#160;    ScalarWithConstIfNotLvalue* data() { <span class="keywordflow">return</span> derived().nestedExpression().data(); }</div>
<div class="line"><a name="l00143"></a><span class="lineno">  143</span>&#160;    EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE</div>
<div class="line"><a name="l00144"></a><span class="lineno">  144</span>&#160;    <span class="keyword">const</span> Scalar* data()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> derived().nestedExpression().data(); }</div>
<div class="line"><a name="l00145"></a><span class="lineno">  145</span>&#160; </div>
<div class="line"><a name="l00146"></a><span class="lineno">  146</span>&#160;    <span class="comment">// FIXME: shall we keep the const version of coeffRef?</span></div>
<div class="line"><a name="l00147"></a><span class="lineno">  147</span>&#160;    EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE</div>
<div class="line"><a name="l00148"></a><span class="lineno">  148</span>&#160;    <span class="keyword">const</span> Scalar&amp; coeffRef(<a class="code" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> rowId, <a class="code" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> colId)<span class="keyword"> const</span></div>
<div class="line"><a name="l00149"></a><span class="lineno">  149</span>&#160;<span class="keyword">    </span>{</div>
<div class="line"><a name="l00150"></a><span class="lineno">  150</span>&#160;      <span class="keywordflow">return</span> derived().nestedExpression().coeffRef(colId, rowId);</div>
<div class="line"><a name="l00151"></a><span class="lineno">  151</span>&#160;    }</div>
<div class="line"><a name="l00152"></a><span class="lineno">  152</span>&#160; </div>
<div class="line"><a name="l00153"></a><span class="lineno">  153</span>&#160;    EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE</div>
<div class="line"><a name="l00154"></a><span class="lineno">  154</span>&#160;    <span class="keyword">const</span> Scalar&amp; coeffRef(<a class="code" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> index)<span class="keyword"> const</span></div>
<div class="line"><a name="l00155"></a><span class="lineno">  155</span>&#160;<span class="keyword">    </span>{</div>
<div class="line"><a name="l00156"></a><span class="lineno">  156</span>&#160;      <span class="keywordflow">return</span> derived().nestedExpression().coeffRef(index);</div>
<div class="line"><a name="l00157"></a><span class="lineno">  157</span>&#160;    }</div>
<div class="line"><a name="l00158"></a><span class="lineno">  158</span>&#160;  <span class="keyword">protected</span>:</div>
<div class="line"><a name="l00159"></a><span class="lineno">  159</span>&#160;    EIGEN_DEFAULT_EMPTY_CONSTRUCTOR_AND_DESTRUCTOR(TransposeImpl)</div>
<div class="line"><a name="l00160"></a><span class="lineno">  160</span>&#160;};</div>
<div class="line"><a name="l00161"></a><span class="lineno">  161</span>&#160; </div>
<div class="line"><a name="l00181"></a><span class="lineno">  181</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Derived&gt;</div>
<div class="line"><a name="l00182"></a><span class="lineno">  182</span>&#160;EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE</div>
<div class="line"><a name="l00183"></a><span class="lineno">  183</span>&#160;<span class="keyword">typename</span> DenseBase&lt;Derived&gt;::TransposeReturnType</div>
<div class="line"><a name="l00184"></a><span class="lineno"><a class="line" href="classEigen_1_1DenseBase.html#a43cbcd866a0737eb56642c2e992f0afd">  184</a></span>&#160;<a class="code" href="classEigen_1_1DenseBase.html#a43cbcd866a0737eb56642c2e992f0afd">DenseBase&lt;Derived&gt;::transpose</a>()</div>
<div class="line"><a name="l00185"></a><span class="lineno">  185</span>&#160;{</div>
<div class="line"><a name="l00186"></a><span class="lineno">  186</span>&#160;  <span class="keywordflow">return</span> <a class="code" href="classEigen_1_1Transpose.html">TransposeReturnType</a>(derived());</div>
<div class="line"><a name="l00187"></a><span class="lineno">  187</span>&#160;}</div>
<div class="line"><a name="l00188"></a><span class="lineno">  188</span>&#160; </div>
<div class="line"><a name="l00194"></a><span class="lineno">  194</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Derived&gt;</div>
<div class="line"><a name="l00195"></a><span class="lineno">  195</span>&#160;EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE</div>
<div class="line"><a name="l00196"></a><span class="lineno">  196</span>&#160;<span class="keyword">const</span> <span class="keyword">typename</span> <a class="code" href="classEigen_1_1Transpose.html">DenseBase&lt;Derived&gt;::ConstTransposeReturnType</a></div>
<div class="line"><a name="l00197"></a><span class="lineno"><a class="line" href="classEigen_1_1DenseBase.html#a59eb71a8633da26de5e3e03351b2291e">  197</a></span>&#160;<a class="code" href="classEigen_1_1DenseBase.html#a43cbcd866a0737eb56642c2e992f0afd">DenseBase&lt;Derived&gt;::transpose</a>()<span class="keyword"> const</span></div>
<div class="line"><a name="l00198"></a><span class="lineno">  198</span>&#160;<span class="keyword"></span>{</div>
<div class="line"><a name="l00199"></a><span class="lineno">  199</span>&#160;  <span class="keywordflow">return</span> <a class="code" href="classEigen_1_1Transpose.html">ConstTransposeReturnType</a>(derived());</div>
<div class="line"><a name="l00200"></a><span class="lineno">  200</span>&#160;}</div>
<div class="line"><a name="l00201"></a><span class="lineno">  201</span>&#160; </div>
<div class="line"><a name="l00221"></a><span class="lineno">  221</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Derived&gt;</div>
<div class="line"><a name="l00222"></a><span class="lineno">  222</span>&#160;EIGEN_DEVICE_FUNC <span class="keyword">inline</span> <span class="keyword">const</span> <span class="keyword">typename</span> <a class="code" href="classEigen_1_1MatrixBase.html">MatrixBase&lt;Derived&gt;::AdjointReturnType</a></div>
<div class="line"><a name="l00223"></a><span class="lineno"><a class="line" href="classEigen_1_1MatrixBase.html#afacca1f88da57e5cd87dd07c8ff926bb">  223</a></span>&#160;<a class="code" href="classEigen_1_1MatrixBase.html#afacca1f88da57e5cd87dd07c8ff926bb">MatrixBase&lt;Derived&gt;::adjoint</a>()<span class="keyword"> const</span></div>
<div class="line"><a name="l00224"></a><span class="lineno">  224</span>&#160;<span class="keyword"></span>{</div>
<div class="line"><a name="l00225"></a><span class="lineno">  225</span>&#160;  <span class="keywordflow">return</span> AdjointReturnType(this-&gt;transpose());</div>
<div class="line"><a name="l00226"></a><span class="lineno">  226</span>&#160;}</div>
<div class="line"><a name="l00227"></a><span class="lineno">  227</span>&#160; </div>
<div class="line"><a name="l00228"></a><span class="lineno">  228</span>&#160;<span class="comment">/***************************************************************************</span></div>
<div class="line"><a name="l00229"></a><span class="lineno">  229</span>&#160;<span class="comment">* &quot;in place&quot; transpose implementation</span></div>
<div class="line"><a name="l00230"></a><span class="lineno">  230</span>&#160;<span class="comment">***************************************************************************/</span></div>
<div class="line"><a name="l00231"></a><span class="lineno">  231</span>&#160; </div>
<div class="line"><a name="l00232"></a><span class="lineno">  232</span>&#160;<span class="keyword">namespace </span>internal {</div>
<div class="line"><a name="l00233"></a><span class="lineno">  233</span>&#160; </div>
<div class="line"><a name="l00234"></a><span class="lineno">  234</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> MatrixType,</div>
<div class="line"><a name="l00235"></a><span class="lineno">  235</span>&#160;  <span class="keywordtype">bool</span> IsSquare = (MatrixType::RowsAtCompileTime == MatrixType::ColsAtCompileTime) &amp;&amp; MatrixType::RowsAtCompileTime!=<a class="code" href="namespaceEigen.html#ad81fa7195215a0ce30017dfac309f0b2">Dynamic</a>,</div>
<div class="line"><a name="l00236"></a><span class="lineno">  236</span>&#160;  <span class="keywordtype">bool</span> MatchPacketSize =</div>
<div class="line"><a name="l00237"></a><span class="lineno">  237</span>&#160;        (<span class="keywordtype">int</span>(MatrixType::RowsAtCompileTime) == int(internal::packet_traits&lt;typename MatrixType::Scalar&gt;::size))</div>
<div class="line"><a name="l00238"></a><span class="lineno">  238</span>&#160;    &amp;&amp;  (internal::evaluator&lt;MatrixType&gt;::Flags&amp;<a class="code" href="group__flags.html#ga1a306a438e1ab074e8be59512e887b9f">PacketAccessBit</a>) &gt;</div>
<div class="line"><a name="l00239"></a><span class="lineno">  239</span>&#160;<span class="keyword">struct </span>inplace_transpose_selector;</div>
<div class="line"><a name="l00240"></a><span class="lineno">  240</span>&#160; </div>
<div class="line"><a name="l00241"></a><span class="lineno">  241</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> MatrixType&gt;</div>
<div class="line"><a name="l00242"></a><span class="lineno">  242</span>&#160;<span class="keyword">struct </span>inplace_transpose_selector&lt;MatrixType,true,false&gt; { <span class="comment">// square matrix</span></div>
<div class="line"><a name="l00243"></a><span class="lineno">  243</span>&#160;  <span class="keyword">static</span> <span class="keywordtype">void</span> run(MatrixType&amp; m) {</div>
<div class="line"><a name="l00244"></a><span class="lineno">  244</span>&#160;    m.matrix().template triangularView&lt;StrictlyUpper&gt;().swap(m.matrix().transpose().template triangularView&lt;StrictlyUpper&gt;());</div>
<div class="line"><a name="l00245"></a><span class="lineno">  245</span>&#160;  }</div>
<div class="line"><a name="l00246"></a><span class="lineno">  246</span>&#160;};</div>
<div class="line"><a name="l00247"></a><span class="lineno">  247</span>&#160; </div>
<div class="line"><a name="l00248"></a><span class="lineno">  248</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> MatrixType&gt;</div>
<div class="line"><a name="l00249"></a><span class="lineno">  249</span>&#160;<span class="keyword">struct </span>inplace_transpose_selector&lt;MatrixType,true,true&gt; { <span class="comment">// PacketSize x PacketSize</span></div>
<div class="line"><a name="l00250"></a><span class="lineno">  250</span>&#160;  <span class="keyword">static</span> <span class="keywordtype">void</span> run(MatrixType&amp; m) {</div>
<div class="line"><a name="l00251"></a><span class="lineno">  251</span>&#160;    <span class="keyword">typedef</span> <span class="keyword">typename</span> MatrixType::Scalar Scalar;</div>
<div class="line"><a name="l00252"></a><span class="lineno">  252</span>&#160;    <span class="keyword">typedef</span> <span class="keyword">typename</span> internal::packet_traits&lt;typename MatrixType::Scalar&gt;::type Packet;</div>
<div class="line"><a name="l00253"></a><span class="lineno">  253</span>&#160;    <span class="keyword">const</span> <a class="code" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> PacketSize = internal::packet_traits&lt;Scalar&gt;::size;</div>
<div class="line"><a name="l00254"></a><span class="lineno">  254</span>&#160;    <span class="keyword">const</span> <a class="code" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> Alignment = internal::evaluator&lt;MatrixType&gt;::Alignment;</div>
<div class="line"><a name="l00255"></a><span class="lineno">  255</span>&#160;    PacketBlock&lt;Packet&gt; A;</div>
<div class="line"><a name="l00256"></a><span class="lineno">  256</span>&#160;    <span class="keywordflow">for</span> (<a class="code" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> i=0; i&lt;PacketSize; ++i)</div>
<div class="line"><a name="l00257"></a><span class="lineno">  257</span>&#160;      A.packet[i] = m.template packetByOuterInner&lt;Alignment&gt;(i,0);</div>
<div class="line"><a name="l00258"></a><span class="lineno">  258</span>&#160;    internal::ptranspose(A);</div>
<div class="line"><a name="l00259"></a><span class="lineno">  259</span>&#160;    <span class="keywordflow">for</span> (<a class="code" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> i=0; i&lt;PacketSize; ++i)</div>
<div class="line"><a name="l00260"></a><span class="lineno">  260</span>&#160;      m.template writePacket&lt;Alignment&gt;(m.rowIndexByOuterInner(i,0), m.colIndexByOuterInner(i,0), A.packet[i]);</div>
<div class="line"><a name="l00261"></a><span class="lineno">  261</span>&#160;  }</div>
<div class="line"><a name="l00262"></a><span class="lineno">  262</span>&#160;};</div>
<div class="line"><a name="l00263"></a><span class="lineno">  263</span>&#160; </div>
<div class="line"><a name="l00264"></a><span class="lineno">  264</span>&#160; </div>
<div class="line"><a name="l00265"></a><span class="lineno">  265</span>&#160;<span class="keyword">template</span> &lt;<span class="keyword">typename</span> MatrixType, Index Alignment&gt;</div>
<div class="line"><a name="l00266"></a><span class="lineno">  266</span>&#160;<span class="keywordtype">void</span> BlockedInPlaceTranspose(MatrixType&amp; m) {</div>
<div class="line"><a name="l00267"></a><span class="lineno">  267</span>&#160;  <span class="keyword">typedef</span> <span class="keyword">typename</span> MatrixType::Scalar Scalar;</div>
<div class="line"><a name="l00268"></a><span class="lineno">  268</span>&#160;  <span class="keyword">typedef</span> <span class="keyword">typename</span> internal::packet_traits&lt;typename MatrixType::Scalar&gt;::type Packet;</div>
<div class="line"><a name="l00269"></a><span class="lineno">  269</span>&#160;  <span class="keyword">const</span> <a class="code" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> PacketSize = internal::packet_traits&lt;Scalar&gt;::size;</div>
<div class="line"><a name="l00270"></a><span class="lineno">  270</span>&#160;  eigen_assert(m.rows() == m.cols());</div>
<div class="line"><a name="l00271"></a><span class="lineno">  271</span>&#160;  <span class="keywordtype">int</span> row_start = 0;</div>
<div class="line"><a name="l00272"></a><span class="lineno">  272</span>&#160;  <span class="keywordflow">for</span> (; row_start + PacketSize &lt;= m.rows(); row_start += PacketSize) {</div>
<div class="line"><a name="l00273"></a><span class="lineno">  273</span>&#160;    <span class="keywordflow">for</span> (<span class="keywordtype">int</span> col_start = row_start; col_start + PacketSize &lt;= m.cols(); col_start += PacketSize) {</div>
<div class="line"><a name="l00274"></a><span class="lineno">  274</span>&#160;      PacketBlock&lt;Packet&gt; A;</div>
<div class="line"><a name="l00275"></a><span class="lineno">  275</span>&#160;      <span class="keywordflow">if</span> (row_start == col_start) {</div>
<div class="line"><a name="l00276"></a><span class="lineno">  276</span>&#160;        <span class="keywordflow">for</span> (<a class="code" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> i=0; i&lt;PacketSize; ++i)</div>
<div class="line"><a name="l00277"></a><span class="lineno">  277</span>&#160;          A.packet[i] = m.template packetByOuterInner&lt;Alignment&gt;(row_start + i,col_start);</div>
<div class="line"><a name="l00278"></a><span class="lineno">  278</span>&#160;        internal::ptranspose(A);</div>
<div class="line"><a name="l00279"></a><span class="lineno">  279</span>&#160;        <span class="keywordflow">for</span> (<a class="code" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> i=0; i&lt;PacketSize; ++i)</div>
<div class="line"><a name="l00280"></a><span class="lineno">  280</span>&#160;          m.template writePacket&lt;Alignment&gt;(m.rowIndexByOuterInner(row_start + i, col_start), m.colIndexByOuterInner(row_start + i,col_start), A.packet[i]);</div>
<div class="line"><a name="l00281"></a><span class="lineno">  281</span>&#160;      } <span class="keywordflow">else</span> {</div>
<div class="line"><a name="l00282"></a><span class="lineno">  282</span>&#160;        PacketBlock&lt;Packet&gt; B;</div>
<div class="line"><a name="l00283"></a><span class="lineno">  283</span>&#160;        <span class="keywordflow">for</span> (<a class="code" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> i=0; i&lt;PacketSize; ++i) {</div>
<div class="line"><a name="l00284"></a><span class="lineno">  284</span>&#160;          A.packet[i] = m.template packetByOuterInner&lt;Alignment&gt;(row_start + i,col_start);</div>
<div class="line"><a name="l00285"></a><span class="lineno">  285</span>&#160;          B.packet[i] = m.template packetByOuterInner&lt;Alignment&gt;(col_start + i, row_start);</div>
<div class="line"><a name="l00286"></a><span class="lineno">  286</span>&#160;        }</div>
<div class="line"><a name="l00287"></a><span class="lineno">  287</span>&#160;        internal::ptranspose(A);</div>
<div class="line"><a name="l00288"></a><span class="lineno">  288</span>&#160;        internal::ptranspose(B);</div>
<div class="line"><a name="l00289"></a><span class="lineno">  289</span>&#160;        <span class="keywordflow">for</span> (<a class="code" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> i=0; i&lt;PacketSize; ++i) {</div>
<div class="line"><a name="l00290"></a><span class="lineno">  290</span>&#160;          m.template writePacket&lt;Alignment&gt;(m.rowIndexByOuterInner(row_start + i, col_start), m.colIndexByOuterInner(row_start + i,col_start), B.packet[i]);</div>
<div class="line"><a name="l00291"></a><span class="lineno">  291</span>&#160;          m.template writePacket&lt;Alignment&gt;(m.rowIndexByOuterInner(col_start + i, row_start), m.colIndexByOuterInner(col_start + i,row_start), A.packet[i]);</div>
<div class="line"><a name="l00292"></a><span class="lineno">  292</span>&#160;        }</div>
<div class="line"><a name="l00293"></a><span class="lineno">  293</span>&#160;      }</div>
<div class="line"><a name="l00294"></a><span class="lineno">  294</span>&#160;    }</div>
<div class="line"><a name="l00295"></a><span class="lineno">  295</span>&#160;  }</div>
<div class="line"><a name="l00296"></a><span class="lineno">  296</span>&#160;  <span class="keywordflow">for</span> (<a class="code" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> row = row_start; row &lt; m.rows(); ++row) {</div>
<div class="line"><a name="l00297"></a><span class="lineno">  297</span>&#160;    m.matrix().row(row).head(row).swap(</div>
<div class="line"><a name="l00298"></a><span class="lineno">  298</span>&#160;        m.matrix().col(row).head(row).transpose());</div>
<div class="line"><a name="l00299"></a><span class="lineno">  299</span>&#160;  }</div>
<div class="line"><a name="l00300"></a><span class="lineno">  300</span>&#160;}</div>
<div class="line"><a name="l00301"></a><span class="lineno">  301</span>&#160; </div>
<div class="line"><a name="l00302"></a><span class="lineno">  302</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> MatrixType,<span class="keywordtype">bool</span> MatchPacketSize&gt;</div>
<div class="line"><a name="l00303"></a><span class="lineno">  303</span>&#160;<span class="keyword">struct </span>inplace_transpose_selector&lt;MatrixType,false,MatchPacketSize&gt; { <span class="comment">// non square or dynamic matrix</span></div>
<div class="line"><a name="l00304"></a><span class="lineno">  304</span>&#160;  <span class="keyword">static</span> <span class="keywordtype">void</span> run(MatrixType&amp; m) {</div>
<div class="line"><a name="l00305"></a><span class="lineno">  305</span>&#160;    <span class="keyword">typedef</span> <span class="keyword">typename</span> MatrixType::Scalar Scalar;</div>
<div class="line"><a name="l00306"></a><span class="lineno">  306</span>&#160;    <span class="keywordflow">if</span> (m.rows() == m.cols()) {</div>
<div class="line"><a name="l00307"></a><span class="lineno">  307</span>&#160;      <span class="keyword">const</span> <a class="code" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> PacketSize = internal::packet_traits&lt;Scalar&gt;::size;</div>
<div class="line"><a name="l00308"></a><span class="lineno">  308</span>&#160;      <span class="keywordflow">if</span> (!NumTraits&lt;Scalar&gt;::IsComplex &amp;&amp; m.rows() &gt;= PacketSize) {</div>
<div class="line"><a name="l00309"></a><span class="lineno">  309</span>&#160;        <span class="keywordflow">if</span> ((m.rows() % PacketSize) == 0)</div>
<div class="line"><a name="l00310"></a><span class="lineno">  310</span>&#160;          BlockedInPlaceTranspose&lt;MatrixType,internal::evaluator&lt;MatrixType&gt;::Alignment&gt;(m);</div>
<div class="line"><a name="l00311"></a><span class="lineno">  311</span>&#160;        <span class="keywordflow">else</span></div>
<div class="line"><a name="l00312"></a><span class="lineno">  312</span>&#160;          BlockedInPlaceTranspose&lt;MatrixType,Unaligned&gt;(m);</div>
<div class="line"><a name="l00313"></a><span class="lineno">  313</span>&#160;      }</div>
<div class="line"><a name="l00314"></a><span class="lineno">  314</span>&#160;      <span class="keywordflow">else</span> {</div>
<div class="line"><a name="l00315"></a><span class="lineno"><a class="line" href="classEigen_1_1DenseBase.html#a43cbcd866a0737eb56642c2e992f0afd">  315</a></span>&#160;        m.matrix().template triangularView&lt;StrictlyUpper&gt;().swap(m.matrix().transpose().template triangularView&lt;StrictlyUpper&gt;());</div>
<div class="line"><a name="l00316"></a><span class="lineno">  316</span>&#160;      }</div>
<div class="line"><a name="l00317"></a><span class="lineno">  317</span>&#160;    } <span class="keywordflow">else</span> {</div>
<div class="line"><a name="l00318"></a><span class="lineno"><a class="line" href="classEigen_1_1DenseBase.html#a59eb71a8633da26de5e3e03351b2291e">  318</a></span>&#160;      m = m.transpose().eval();</div>
<div class="line"><a name="l00319"></a><span class="lineno">  319</span>&#160;    }</div>
<div class="line"><a name="l00320"></a><span class="lineno"><a class="line" href="classEigen_1_1DenseBase.html#ac501bd942994af7a95d95bee7a16ad2a">  320</a></span>&#160;  }</div>
<div class="line"><a name="l00321"></a><span class="lineno">  321</span>&#160;};</div>
<div class="line"><a name="l00322"></a><span class="lineno">  322</span>&#160; </div>
<div class="line"><a name="l00323"></a><span class="lineno">  323</span>&#160; </div>
<div class="line"><a name="l00324"></a><span class="lineno">  324</span>&#160;} <span class="comment">// end namespace internal</span></div>
<div class="line"><a name="l00325"></a><span class="lineno">  325</span>&#160; </div>
<div class="line"><a name="l00345"></a><span class="lineno">  345</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Derived&gt;</div>
<div class="line"><a name="l00346"></a><span class="lineno"><a class="line" href="classEigen_1_1DenseBase.html#ac501bd942994af7a95d95bee7a16ad2a">  346</a></span>&#160;EIGEN_DEVICE_FUNC <span class="keyword">inline</span> <span class="keywordtype">void</span> <a class="code" href="classEigen_1_1DenseBase.html#ac501bd942994af7a95d95bee7a16ad2a">DenseBase&lt;Derived&gt;::transposeInPlace</a>()</div>
<div class="line"><a name="l00347"></a><span class="lineno">  347</span>&#160;{</div>
<div class="line"><a name="l00348"></a><span class="lineno">  348</span>&#160;  eigen_assert((rows() == cols() || (RowsAtCompileTime == <a class="code" href="namespaceEigen.html#ad81fa7195215a0ce30017dfac309f0b2">Dynamic</a> &amp;&amp; ColsAtCompileTime == <a class="code" href="namespaceEigen.html#ad81fa7195215a0ce30017dfac309f0b2">Dynamic</a>))</div>
<div class="line"><a name="l00349"></a><span class="lineno">  349</span>&#160;               &amp;&amp; <span class="stringliteral">&quot;transposeInPlace() called on a non-square non-resizable matrix&quot;</span>);</div>
<div class="line"><a name="l00350"></a><span class="lineno">  350</span>&#160;  internal::inplace_transpose_selector&lt;Derived&gt;::run(derived());</div>
<div class="line"><a name="l00351"></a><span class="lineno">  351</span>&#160;}</div>
<div class="line"><a name="l00352"></a><span class="lineno">  352</span>&#160; </div>
<div class="line"><a name="l00353"></a><span class="lineno">  353</span>&#160;<span class="comment">/***************************************************************************</span></div>
<div class="line"><a name="l00354"></a><span class="lineno">  354</span>&#160;<span class="comment">* &quot;in place&quot; adjoint implementation</span></div>
<div class="line"><a name="l00355"></a><span class="lineno">  355</span>&#160;<span class="comment">***************************************************************************/</span></div>
<div class="line"><a name="l00356"></a><span class="lineno">  356</span>&#160; </div>
<div class="line"><a name="l00376"></a><span class="lineno">  376</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Derived&gt;</div>
<div class="line"><a name="l00377"></a><span class="lineno"><a class="line" href="classEigen_1_1MatrixBase.html#a51c5982c1f64e45a939515b701fa6f4a">  377</a></span>&#160;EIGEN_DEVICE_FUNC <span class="keyword">inline</span> <span class="keywordtype">void</span> <a class="code" href="classEigen_1_1MatrixBase.html#a51c5982c1f64e45a939515b701fa6f4a">MatrixBase&lt;Derived&gt;::adjointInPlace</a>()</div>
<div class="line"><a name="l00378"></a><span class="lineno">  378</span>&#160;{</div>
<div class="line"><a name="l00379"></a><span class="lineno">  379</span>&#160;  derived() = adjoint().eval();</div>
<div class="line"><a name="l00380"></a><span class="lineno">  380</span>&#160;}</div>
<div class="line"><a name="l00381"></a><span class="lineno">  381</span>&#160; </div>
<div class="line"><a name="l00382"></a><span class="lineno">  382</span>&#160;<span class="preprocessor">#ifndef EIGEN_NO_DEBUG</span></div>
<div class="line"><a name="l00383"></a><span class="lineno">  383</span>&#160; </div>
<div class="line"><a name="l00384"></a><span class="lineno">  384</span>&#160;<span class="comment">// The following is to detect aliasing problems in most common cases.</span></div>
<div class="line"><a name="l00385"></a><span class="lineno">  385</span>&#160; </div>
<div class="line"><a name="l00386"></a><span class="lineno">  386</span>&#160;<span class="keyword">namespace </span>internal {</div>
<div class="line"><a name="l00387"></a><span class="lineno">  387</span>&#160; </div>
<div class="line"><a name="l00388"></a><span class="lineno">  388</span>&#160;<span class="keyword">template</span>&lt;<span class="keywordtype">bool</span> DestIsTransposed, <span class="keyword">typename</span> OtherDerived&gt;</div>
<div class="line"><a name="l00389"></a><span class="lineno">  389</span>&#160;<span class="keyword">struct </span>check_transpose_aliasing_compile_time_selector</div>
<div class="line"><a name="l00390"></a><span class="lineno">  390</span>&#160;{</div>
<div class="line"><a name="l00391"></a><span class="lineno">  391</span>&#160;  <span class="keyword">enum</span> { ret = bool(blas_traits&lt;OtherDerived&gt;::IsTransposed) != DestIsTransposed };</div>
<div class="line"><a name="l00392"></a><span class="lineno">  392</span>&#160;};</div>
<div class="line"><a name="l00393"></a><span class="lineno">  393</span>&#160; </div>
<div class="line"><a name="l00394"></a><span class="lineno">  394</span>&#160;<span class="keyword">template</span>&lt;<span class="keywordtype">bool</span> DestIsTransposed, <span class="keyword">typename</span> BinOp, <span class="keyword">typename</span> DerivedA, <span class="keyword">typename</span> DerivedB&gt;</div>
<div class="line"><a name="l00395"></a><span class="lineno">  395</span>&#160;<span class="keyword">struct </span>check_transpose_aliasing_compile_time_selector&lt;DestIsTransposed,CwiseBinaryOp&lt;BinOp,DerivedA,DerivedB&gt; &gt;</div>
<div class="line"><a name="l00396"></a><span class="lineno">  396</span>&#160;{</div>
<div class="line"><a name="l00397"></a><span class="lineno">  397</span>&#160;  <span class="keyword">enum</span> { ret =    bool(blas_traits&lt;DerivedA&gt;::IsTransposed) != DestIsTransposed</div>
<div class="line"><a name="l00398"></a><span class="lineno">  398</span>&#160;               || bool(blas_traits&lt;DerivedB&gt;::IsTransposed) != DestIsTransposed</div>
<div class="line"><a name="l00399"></a><span class="lineno">  399</span>&#160;  };</div>
<div class="line"><a name="l00400"></a><span class="lineno">  400</span>&#160;};</div>
<div class="line"><a name="l00401"></a><span class="lineno">  401</span>&#160; </div>
<div class="line"><a name="l00402"></a><span class="lineno">  402</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar, <span class="keywordtype">bool</span> DestIsTransposed, <span class="keyword">typename</span> OtherDerived&gt;</div>
<div class="line"><a name="l00403"></a><span class="lineno">  403</span>&#160;<span class="keyword">struct </span>check_transpose_aliasing_run_time_selector</div>
<div class="line"><a name="l00404"></a><span class="lineno">  404</span>&#160;{</div>
<div class="line"><a name="l00405"></a><span class="lineno">  405</span>&#160;  <span class="keyword">static</span> <span class="keywordtype">bool</span> run(<span class="keyword">const</span> Scalar* dest, <span class="keyword">const</span> OtherDerived&amp; src)</div>
<div class="line"><a name="l00406"></a><span class="lineno">  406</span>&#160;  {</div>
<div class="line"><a name="l00407"></a><span class="lineno">  407</span>&#160;    <span class="keywordflow">return</span> (<span class="keywordtype">bool</span>(blas_traits&lt;OtherDerived&gt;::IsTransposed) != DestIsTransposed) &amp;&amp; (dest!=0 &amp;&amp; dest==(<span class="keyword">const</span> Scalar*)extract_data(src));</div>
<div class="line"><a name="l00408"></a><span class="lineno">  408</span>&#160;  }</div>
<div class="line"><a name="l00409"></a><span class="lineno">  409</span>&#160;};</div>
<div class="line"><a name="l00410"></a><span class="lineno">  410</span>&#160; </div>
<div class="line"><a name="l00411"></a><span class="lineno">  411</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar, <span class="keywordtype">bool</span> DestIsTransposed, <span class="keyword">typename</span> BinOp, <span class="keyword">typename</span> DerivedA, <span class="keyword">typename</span> DerivedB&gt;</div>
<div class="line"><a name="l00412"></a><span class="lineno">  412</span>&#160;<span class="keyword">struct </span>check_transpose_aliasing_run_time_selector&lt;Scalar,DestIsTransposed,CwiseBinaryOp&lt;BinOp,DerivedA,DerivedB&gt; &gt;</div>
<div class="line"><a name="l00413"></a><span class="lineno">  413</span>&#160;{</div>
<div class="line"><a name="l00414"></a><span class="lineno">  414</span>&#160;  <span class="keyword">static</span> <span class="keywordtype">bool</span> run(<span class="keyword">const</span> Scalar* dest, <span class="keyword">const</span> CwiseBinaryOp&lt;BinOp,DerivedA,DerivedB&gt;&amp; src)</div>
<div class="line"><a name="l00415"></a><span class="lineno">  415</span>&#160;  {</div>
<div class="line"><a name="l00416"></a><span class="lineno">  416</span>&#160;    <span class="keywordflow">return</span> ((blas_traits&lt;DerivedA&gt;::IsTransposed != DestIsTransposed) &amp;&amp; (dest!=0 &amp;&amp; dest==(<span class="keyword">const</span> Scalar*)extract_data(src.lhs())))</div>
<div class="line"><a name="l00417"></a><span class="lineno">  417</span>&#160;        || ((blas_traits&lt;DerivedB&gt;::IsTransposed != DestIsTransposed) &amp;&amp; (dest!=0 &amp;&amp; dest==(<span class="keyword">const</span> Scalar*)extract_data(src.rhs())));</div>
<div class="line"><a name="l00418"></a><span class="lineno">  418</span>&#160;  }</div>
<div class="line"><a name="l00419"></a><span class="lineno">  419</span>&#160;};</div>
<div class="line"><a name="l00420"></a><span class="lineno">  420</span>&#160; </div>
<div class="line"><a name="l00421"></a><span class="lineno">  421</span>&#160;<span class="comment">// the following selector, checkTransposeAliasing_impl, based on MightHaveTransposeAliasing,</span></div>
<div class="line"><a name="l00422"></a><span class="lineno">  422</span>&#160;<span class="comment">// is because when the condition controlling the assert is known at compile time, ICC emits a warning.</span></div>
<div class="line"><a name="l00423"></a><span class="lineno">  423</span>&#160;<span class="comment">// This is actually a good warning: in expressions that don&#39;t have any transposing, the condition is</span></div>
<div class="line"><a name="l00424"></a><span class="lineno">  424</span>&#160;<span class="comment">// known at compile time to be false, and using that, we can avoid generating the code of the assert again</span></div>
<div class="line"><a name="l00425"></a><span class="lineno">  425</span>&#160;<span class="comment">// and again for all these expressions that don&#39;t need it.</span></div>
<div class="line"><a name="l00426"></a><span class="lineno">  426</span>&#160; </div>
<div class="line"><a name="l00427"></a><span class="lineno">  427</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Derived, <span class="keyword">typename</span> OtherDerived,</div>
<div class="line"><a name="l00428"></a><span class="lineno">  428</span>&#160;         <span class="keywordtype">bool</span> MightHaveTransposeAliasing</div>
<div class="line"><a name="l00429"></a><span class="lineno">  429</span>&#160;                 = check_transpose_aliasing_compile_time_selector</div>
<div class="line"><a name="l00430"></a><span class="lineno">  430</span>&#160;                     &lt;blas_traits&lt;Derived&gt;::IsTransposed,OtherDerived&gt;::ret</div>
<div class="line"><a name="l00431"></a><span class="lineno">  431</span>&#160;        &gt;</div>
<div class="line"><a name="l00432"></a><span class="lineno">  432</span>&#160;<span class="keyword">struct </span>checkTransposeAliasing_impl</div>
<div class="line"><a name="l00433"></a><span class="lineno">  433</span>&#160;{</div>
<div class="line"><a name="l00434"></a><span class="lineno">  434</span>&#160;    <span class="keyword">static</span> <span class="keywordtype">void</span> run(<span class="keyword">const</span> Derived&amp; dst, <span class="keyword">const</span> OtherDerived&amp; other)</div>
<div class="line"><a name="l00435"></a><span class="lineno">  435</span>&#160;    {</div>
<div class="line"><a name="l00436"></a><span class="lineno">  436</span>&#160;        eigen_assert((!check_transpose_aliasing_run_time_selector</div>
<div class="line"><a name="l00437"></a><span class="lineno">  437</span>&#160;                      &lt;<span class="keyword">typename</span> Derived::Scalar,blas_traits&lt;Derived&gt;::IsTransposed,OtherDerived&gt;</div>
<div class="line"><a name="l00438"></a><span class="lineno">  438</span>&#160;                      ::run(extract_data(dst), other))</div>
<div class="line"><a name="l00439"></a><span class="lineno">  439</span>&#160;          &amp;&amp; <span class="stringliteral">&quot;aliasing detected during transposition, use transposeInPlace() &quot;</span></div>
<div class="line"><a name="l00440"></a><span class="lineno">  440</span>&#160;             <span class="stringliteral">&quot;or evaluate the rhs into a temporary using .eval()&quot;</span>);</div>
<div class="line"><a name="l00441"></a><span class="lineno">  441</span>&#160; </div>
<div class="line"><a name="l00442"></a><span class="lineno">  442</span>&#160;    }</div>
<div class="line"><a name="l00443"></a><span class="lineno">  443</span>&#160;};</div>
<div class="line"><a name="l00444"></a><span class="lineno">  444</span>&#160; </div>
<div class="line"><a name="l00445"></a><span class="lineno">  445</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Derived, <span class="keyword">typename</span> OtherDerived&gt;</div>
<div class="line"><a name="l00446"></a><span class="lineno">  446</span>&#160;<span class="keyword">struct </span>checkTransposeAliasing_impl&lt;Derived, OtherDerived, false&gt;</div>
<div class="line"><a name="l00447"></a><span class="lineno">  447</span>&#160;{</div>
<div class="line"><a name="l00448"></a><span class="lineno">  448</span>&#160;    <span class="keyword">static</span> <span class="keywordtype">void</span> run(<span class="keyword">const</span> Derived&amp;, <span class="keyword">const</span> OtherDerived&amp;)</div>
<div class="line"><a name="l00449"></a><span class="lineno">  449</span>&#160;    {</div>
<div class="line"><a name="l00450"></a><span class="lineno">  450</span>&#160;    }</div>
<div class="line"><a name="l00451"></a><span class="lineno">  451</span>&#160;};</div>
<div class="line"><a name="l00452"></a><span class="lineno">  452</span>&#160; </div>
<div class="line"><a name="l00453"></a><span class="lineno">  453</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Dst, <span class="keyword">typename</span> Src&gt;</div>
<div class="line"><a name="l00454"></a><span class="lineno">  454</span>&#160;<span class="keywordtype">void</span> check_for_aliasing(<span class="keyword">const</span> Dst &amp;dst, <span class="keyword">const</span> Src &amp;src)</div>
<div class="line"><a name="l00455"></a><span class="lineno">  455</span>&#160;{</div>
<div class="line"><a name="l00456"></a><span class="lineno">  456</span>&#160;  <span class="keywordflow">if</span>((!Dst::IsVectorAtCompileTime) &amp;&amp; dst.rows()&gt;1 &amp;&amp; dst.cols()&gt;1)</div>
<div class="line"><a name="l00457"></a><span class="lineno">  457</span>&#160;    internal::checkTransposeAliasing_impl&lt;Dst, Src&gt;::run(dst, src);</div>
<div class="line"><a name="l00458"></a><span class="lineno">  458</span>&#160;}</div>
<div class="line"><a name="l00459"></a><span class="lineno">  459</span>&#160; </div>
<div class="line"><a name="l00460"></a><span class="lineno">  460</span>&#160;} <span class="comment">// end namespace internal</span></div>
<div class="line"><a name="l00461"></a><span class="lineno">  461</span>&#160; </div>
<div class="line"><a name="l00462"></a><span class="lineno">  462</span>&#160;<span class="preprocessor">#endif </span><span class="comment">// EIGEN_NO_DEBUG</span></div>
<div class="line"><a name="l00463"></a><span class="lineno">  463</span>&#160; </div>
<div class="line"><a name="l00464"></a><span class="lineno">  464</span>&#160;} <span class="comment">// end namespace Eigen</span></div>
<div class="line"><a name="l00465"></a><span class="lineno">  465</span>&#160; </div>
<div class="line"><a name="l00466"></a><span class="lineno">  466</span>&#160;<span class="preprocessor">#endif </span><span class="comment">// EIGEN_TRANSPOSE_H</span></div>
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<div class="ttc" id="aclassEigen_1_1DenseBase_html_ac501bd942994af7a95d95bee7a16ad2a"><div class="ttname"><a href="classEigen_1_1DenseBase.html#ac501bd942994af7a95d95bee7a16ad2a">Eigen::DenseBase::transposeInPlace</a></div><div class="ttdeci">void transposeInPlace()</div><div class="ttdef"><b>Definition:</b> Transpose.h:346</div></div>
<div class="ttc" id="aclassEigen_1_1MatrixBase_html"><div class="ttname"><a href="classEigen_1_1MatrixBase.html">Eigen::MatrixBase</a></div><div class="ttdoc">Base class for all dense matrices, vectors, and expressions.</div><div class="ttdef"><b>Definition:</b> MatrixBase.h:52</div></div>
<div class="ttc" id="aclassEigen_1_1MatrixBase_html_a51c5982c1f64e45a939515b701fa6f4a"><div class="ttname"><a href="classEigen_1_1MatrixBase.html#a51c5982c1f64e45a939515b701fa6f4a">Eigen::MatrixBase::adjointInPlace</a></div><div class="ttdeci">void adjointInPlace()</div><div class="ttdef"><b>Definition:</b> Transpose.h:377</div></div>
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<div class="ttc" id="aclassEigen_1_1Transpose_html_a48cbed2e6eb5fca2d2479f6b9e454e66"><div class="ttname"><a href="classEigen_1_1Transpose.html#a48cbed2e6eb5fca2d2479f6b9e454e66">Eigen::Transpose::nestedExpression</a></div><div class="ttdeci">const internal::remove_all_t&lt; MatrixTypeNested &gt; &amp; nestedExpression() const</div><div class="ttdef"><b>Definition:</b> Transpose.h:78</div></div>
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<div class="ttc" id="agroup__flags_html_ga1a306a438e1ab074e8be59512e887b9f"><div class="ttname"><a href="group__flags.html#ga1a306a438e1ab074e8be59512e887b9f">Eigen::PacketAccessBit</a></div><div class="ttdeci">const unsigned int PacketAccessBit</div><div class="ttdef"><b>Definition:</b> Constants.h:96</div></div>
<div class="ttc" id="agroup__flags_html_gae2c323957f20dfdc6cb8f44428eaec1a"><div class="ttname"><a href="group__flags.html#gae2c323957f20dfdc6cb8f44428eaec1a">Eigen::LvalueBit</a></div><div class="ttdeci">const unsigned int LvalueBit</div><div class="ttdef"><b>Definition:</b> Constants.h:146</div></div>
<div class="ttc" id="agroup__flags_html_gae4f56c2a60bbe4bd2e44c5b19cbe8762"><div class="ttname"><a href="group__flags.html#gae4f56c2a60bbe4bd2e44c5b19cbe8762">Eigen::RowMajorBit</a></div><div class="ttdeci">const unsigned int RowMajorBit</div><div class="ttdef"><b>Definition:</b> Constants.h:68</div></div>
<div class="ttc" id="anamespaceEigen_html"><div class="ttname"><a href="namespaceEigen.html">Eigen</a></div><div class="ttdoc">Namespace containing all symbols from the Eigen library.</div><div class="ttdef"><b>Definition:</b> Core:139</div></div>
<div class="ttc" id="anamespaceEigen_html_a62e77e0933482dafde8fe197d9a2cfde"><div class="ttname"><a href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Eigen::Index</a></div><div class="ttdeci">EIGEN_DEFAULT_DENSE_INDEX_TYPE Index</div><div class="ttdoc">The Index type as used for the API.</div><div class="ttdef"><b>Definition:</b> Meta.h:59</div></div>
<div class="ttc" id="anamespaceEigen_html_ad81fa7195215a0ce30017dfac309f0b2"><div class="ttname"><a href="namespaceEigen.html#ad81fa7195215a0ce30017dfac309f0b2">Eigen::Dynamic</a></div><div class="ttdeci">const int Dynamic</div><div class="ttdef"><b>Definition:</b> Constants.h:24</div></div>
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